Superradiance of few driven two-level quantum dot emitters in the bad cavity limit

The pursuit of an integrated quantum optics system requires the ability to determine the effect of design parameters on the quantum electrodynamics regime. We develop a simple master equation for few, driven, two-level emitters in the bad cavity regime. Comparing the resulting photon-photon correlation function in the steady state with experimental data from InGaAs quantum dots coupled to a photonic crystal waveguide, we validate our model parameters for coupling strength, spontaneous decay rate and incoherent driving rate. Building upon this model, we explore the superradiant regime for InGaAs quantum dots coherently driven within a waveguide, creating a model that captures the collective behavior of two-level emitters in the bad cavity limit.